A small block of mass M = 250 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.1 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 7.5 cm and released.M = 250 g
D = 7.5 cm
k = 2.1 N/m
A. Assuming the blocks are stuck together, what is the maximum magnitude of acceleration aₘₐₓ of the blocks in terms of the variables in the problem statement?
B. Calculate a value for the magnitude of the maximum acceleration aₘₐₓ of the blocks in m/s².
C. Write an equation for the largest spring constant kₘₐₓ for which the upper block does not slip.
D. Calculate a value for the largest spring constant kₘₐₓ for which the upper block does not slip, in N/m.
